Information on Result #1731898
Digital (66, 85, 15513)-net over F9, using net defined by OOA based on linear OOA(985, 15513, F9, 21, 19) (dual of [(15513, 21), 325688, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(985, 46540, F9, 3, 19) (dual of [(46540, 3), 139535, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(985, 46542, F9, 3, 19) (dual of [(46542, 3), 139541, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(985, 46542, F9, 19) (dual of [46542, 46457, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(985, 59064, F9, 19) (dual of [59064, 58979, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(971, 59050, F9, 15) (dual of [59050, 58979, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(94, 14, F9, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,9)), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(985, 59064, F9, 19) (dual of [59064, 58979, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(985, 46542, F9, 19) (dual of [46542, 46457, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(985, 46542, F9, 3, 19) (dual of [(46542, 3), 139541, 20]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.